1601187840 has 624 divisors, whose sum is σ = 6808097088. Its totient is φ = 339738624.

The previous prime is 1601187821. The next prime is 1601187877. The reversal of 1601187840 is 487811061.

1601187840 is a `hidden beast` number, since 1 + 601 + 1 + 8 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601187795 and 1601187804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21934044 + ... + 21934116.

It is an arithmetic number, because the mean of its divisors is an integer number (10910412).

Almost surely, 2^1601187840 is an apocalyptic number.

1601187840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404048544).

1601187840 is an abundant number, since it is smaller than the sum of its proper divisors (5206909248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1601187840 is a wasteful number, since it uses less digits than its factorization.

1601187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1601187840 is about 40014.8452452337. The cubic root of 1601187840 is about 1169.8964624574.

The spelling of 1601187840 in words is "one billion, six hundred one million, one hundred eighty-seven thousand, eight hundred forty".